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一类多维实变Q-型空间的刻画
引用本文:韩芳,李澎涛. 一类多维实变Q-型空间的刻画[J]. 数学进展, 2020, 0(2): 195-214
作者姓名:韩芳  李澎涛
作者单位:青岛大学数学与统计学院
基金项目:Supported by Shandong Natural Science Foundation of China(No.ZR2016AM05);University Science and Technology Projects of Shandong Province(No.J15LI15)。
摘    要:
本文引入了一类Q-型空间Qκ,γ(Rn),利用Poisson积分得到了Qκ,γ(Rn)的Carleson型刻画.同时也得到了此类空间的小波刻画.

关 键 词:Qκ,γ(Rn)空间  CARLESON测度  小波刻画

Characterizations for a Class of Q-type Spaces of Several Real Variables
HAN Fang,LI Pengtao. Characterizations for a Class of Q-type Spaces of Several Real Variables[J]. Advances in Mathematics(China), 2020, 0(2): 195-214
Authors:HAN Fang  LI Pengtao
Affiliation:(School of Mathematics and Statistics,Qingdao University,Qingdao,Shandong,266071,P.R.China)
Abstract:
In this paper,we introduce a class of Q-type spaces Qκ,γ(Rn).By the aid of the Poisson integral,we establish the Carleson type characterization of Qκ,γ(Rn).We also characterize these spaces via the regular wavelets.
Keywords:Qκ,γ(Rn)spaces  Carleson measure  wavelet characterization
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